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4490673408 = 283213219607
BaseRepresentation
bin1000010111010101…
…00011110100000000
3102120221222211211100
410023222203310000
533144103022113
62021334414400
7216166044204
oct41352436400
912527884740
104490673408
1119a4960441
12a53b01400
1356748c600
1430859cb04
151b4399d73
hex10baa3d00

4490673408 has 324 divisors, whose sum is σ = 14782535040. Its totient is φ = 1306865664.

The previous prime is 4490673349. The next prime is 4490673469. The reversal of 4490673408 is 8043760944.

It is a super-2 number, since 2×44906734082 = 40332295314636668928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7397841 + ... + 7398447.

Almost surely, 24490673408 is an apocalyptic number.

4490673408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4490673408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7391267520).

4490673408 is an abundant number, since it is smaller than the sum of its proper divisors (10291861632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4490673408 is a wasteful number, since it uses less digits than its factorization.

4490673408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4490673408 is about 67012.4869557906. The cubic root of 4490673408 is about 1649.8222530291.

The spelling of 4490673408 in words is "four billion, four hundred ninety million, six hundred seventy-three thousand, four hundred eight".